On 30 Mar 00, at 13:37, Nathan Russell wrote:

> What are the thresholds after which Prime95 does an additional bit of
> factoring?

>From the file common.h in the (publically available) source for v19:

/* Factoring limits based on complex formulas given the speed of the 
*/
/* factoring code vs. the speed of the Lucas-Lehmer code */

#define FAC72   71000000L
#define FAC71   57020000L
#define FAC70   44150000L
#define FAC69   35100000L
#define FAC68   28130000L
#define FAC67   21590000L
#define FAC66   17850000L
#define FAC65   13380000L
#define FAC64   8250000L
#define FAC63   6515000L
#define FAC62   5160000L
#define FAC61   3960000L
#define FAC60   2950000L
#define FAC59   2360000L
#define FAC58   1930000L
#define FAC57   1480000L
#define FAC56   1000000L

The reason there is a bigger band than you'd expect for 64 bits (from 
8.25 million to 13.38 million) is that there is a sharp efficiency 
drop when you go to 65 bits for reasons intimately bound with the 
word length of the CPU.


Regards
Brian Beesley
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